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Finding the Fourth Proportional to 20,690.64, 31,011.64 and 9,573.84

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Solution

The fourth proportional to 20,690.64, 31,011.64 and 9,573.84 is: 14,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.64 : 31,011.64 = 9,573.84 : x
  2. Step 2: Convert to fraction form
    20,690.64/31,011.64 = 9,573.84/x
  3. Step 3: Cross multiply
    20,690.64x = 31,011.64 × 9,573.84
  4. Step 4: Simplify right side
    20,690.64x = 296,900,455.56
  5. Step 5: Solve for x
    x = 296,900,455.56/20,690.64
  6. Step 6: Final answer
    x = 14,349.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.